Juan writes the expression below to determine the total cost of 1 sandwich and n side dishes. 10 . 50 + 1 . 50 ( n − 1 ) Juan orders a sandwich and the same number of side dishes each of the five days this week. All together, Juan pays $75 for these 5 lunches. Write an equation that can be used to find the number of side dishes Juan orders for lunch this week.

Answers

Answer 1

Answer:

She has  n= 4 side dishes.

Total side dishes ordered = 5n = 20

Step-by-step explanation:

The total cost is given by

TC= 10 . 50 + 1 . 50 ( n − 1 )

She orders same 5 lunches for $ 75

$ 75= 5{ 10 . 50 + 1 . 50 ( n − 1 ) }

Or

Cost of 1 lunch would be $ 15

$ 75/5 = { 10 . 50 + 1 . 50 ( n − 1 ) }

or

$ 15 = 10 . 50 + 1 . 50 ( n − 1 )

$ 15-$  10 . 50 = 1 . 50 ( n − 1 )  

$ 4.5/ 1.5= n-1

$ 3= n-1

3+1= n

n= 4

She has  n= 4 side dishes.

Total side dishes ordered = 5n = 20

She spent

$ 1.50 ( 4-1) = $ 4.5 each day or $22.5 on side dishes for 5 days.


Related Questions

Solve the multi-step equations.

2(x+5)=3(x+6)

Answers

Answer:

2x + 10 = 3x + 16

2x - 3x = 16 - 10

x = 6

Answer:

[tex]x=-8[/tex]

Step-by-step explanation:

Given the following question:

[tex]2(x+5)=3(x+6)[/tex]

To find the answer we need to expand the equation by using the distribution property, use inverse operations by subtracting or adding on both sides, and of course simplify if needed.

[tex]2(x+5)=3(x+6)[/tex]
[tex]2(x+5)=2x+10[/tex]
[tex]3(x+6)=3x+18[/tex]
[tex]2x+10=3x+18[/tex]
[tex]10-10=0[/tex]
[tex]18-10=8[/tex]
[tex]2x=3x+8[/tex]
[tex]3x-3x=0[/tex]
[tex]2x-3x=-x[/tex]
[tex]-x=8[/tex]
[tex]-x\div-x=x[/tex]
[tex]8\div-1=-8[/tex]
[tex]x=-8[/tex]

Your answer is "x = -8."

Hope this helps.

papsdamatrix here is this picture​

Answers

The answer is halogen
excuse the other person saying u need a bigger brain, u don’t

which numbers are rational?

Answers

i know F is a rational number

Answer:

the asnwers are B,C, and E

Step-by-step explanation:

4/3=1.3333333... it keeps repeating so it cannot be rational. Same problem with 19/9 (equials 2.111111...)

pi is a number that never ends therefore it is not rational.

pls help me i dont get it

Answers

Answer:

i dont see anything

Step-by-step explanation:

Answer:

What do you need help with, theres no image or question

A sink holds 312 gallons. About how many liters does it hold? Round your answer to the nearest tenth if necessary.

Answers

Answer:

321

Step-by-step explanation:

I think its 321 because it says round to the nearest tenth

Answer:

1180.9litres

Step-by-step explanation:

The unit conversion between (American) gallons and liters:

                     1 gallon = 3.785 liters.

   312 ×  3.785litres = 1180.92litres

          = 1180.9litres

What is the radius of a circle with an area of 78. 5 square inches? Use 3. 14 for pi. Enter your answer in the box.

Answers

Answer:

The radius is 5

Step-by-step explanation:

[tex]r^{2}[/tex] = [tex]\frac{78.5}{3.14}[/tex]

[tex]r^{2}[/tex] = 25

r = [tex]\sqrt{25}[/tex]

r = 5

hence the answer is 5

3.25 + 3 tenths A.6.25 B.3.55

Answers

Answer:

b

Step-by-step explanation:

3.25+.3=3.55

                                           [tex]\huge\boxed{B,\;3.55}[/tex]

___________________________________________________________

                                            [tex]\boxed{Explanation}[/tex]

So, we have the following equation...

[tex]3.25+3/10=(?)[/tex]

Lets turn the fraction into a decimal.

Here's how...

Divide the numerator by the denominator.Remember, the top number is the numerator and the bottom number is the denominator.The line in the middle of our fraction represents division.Our numerator is 3, while our denominator is 10.

Therefore, [tex]3/10=0.3[/tex].

Next, lets add our new decimal with 3.25.

[tex]3.25+0.3=3.55[/tex]

This gives us our final answer... [tex]3.55[/tex].

___________________________________________________________

Hope it helps!

May i have brainliest?

[tex]\huge\boxed{Thanks,\;Plip.}[/tex]

pls help, will give brainliest <3

Answers

Answer:

The missing side is 5 sq units.

Count each square unit without a grid.

The picture should prove this true that I edited.

Proof ↓

is 5.16 a rational or irrational number?

Answers

Answer:

rational

Step-by-step explanation:

.....................................

Answers

............................

Brian sees this tent in a catalog. He is 6 ft 2 in. tall and wants to find out if he will be able to stand up straight in the tent. What is the height of the tent?

A. 5ft.

B. 6ft.

C. 6.5ft.

D. 8ft.

Answers

I think the answer is 6.0

What’s the volume of the rectangular prism ?

Answers

Hey there!

Option answer: [tex]12 \frac{1}{4} \: cubic \: inches[/tex]

volume of cuboid: length * breadth * height {formula}

=> [tex](3 \frac{1}{2} )[/tex]× (2) × [tex](1 \frac{3}{4} )[/tex]

=> [tex] \frac{7}{2} \times 2 \times \frac{7}{4} [/tex]

=> [tex] \frac{49}{4} inches[/tex]

=> [tex]12 \frac{1}{4} \: cubic \: inches[/tex]

At the county fair, 4 employees were paid $8.75 an hour to work a funnel cake stand. The worked for 8 hours at regular pay and then for 5 hours at overtime pay for an extra $2.50 an hour. How much money did each employee earn?

Answers

Answer:

126.25

Step-by-step explanation:

take 8.75 and multiply by 8 =70

take 8.75+2.50=11.25

11.25x5=56.25

56.25+70=126.25

Which inequality represents 17 less than twice a number is no more than 35?

Answers

Answer:

A

Step-by-step explanation:

"17 less than twice a number" is 2n - 17

"No more than 35" is [tex]\leq[/tex] 35

2n - 17 [tex]\leq[/tex] 35

Ted combines 7.28 ounces of strawberries with 8.06 ounces of blueberries to make fruit bowls. He pours the fruit equally into 4 bowls, and has 1.58 ounces of fruit left over. How many ounces of fruit are in each bowl?

Answers

Answer:

7.28 ounces + 8.06 ounces = 15.34 ounces combined

15.34 ounces - 1.58 ounces left over = 13.76 ounces

divide 13.76 ounces by 4 people = 3.44 ounces per bowl

Find the slope of the line through the given points.
( -2,-8) and (2,4)

Answers

Answer:

m = 3

Step-by-step explanation:

Use the slope formula to find the slope  m .

Answer:

3

Step-by-step explanation:

hope this helps!

Write an equation of the perpendicular bisector of the segment with endpoints G(5,-8) and H(7,4) Your answer should be in slope-intercept form. Please type your equation with NO SPACES and if the slope is not a whole number, please make sure it is written as a faction.

Answers

Answer:

[tex]y=-\frac{1}{6}x-1[/tex]

Step-by-step explanation:

In order to solve this problem we can start by finding the slope of the perpendicular equation. We can do this by finding the slope of the equation that passes through the two points provided by the problem.

[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

so we input the two points (5,-8) and (7,4) to get:

[tex]m=\frac{4-(-8)}{7-5}[/tex]

so  

m=6

next, we find the negative reciprocal to get the slope of the perpendicular line, so we get:

[tex]m=-\frac{1}{6}[/tex]

Now we need to find one point that the line passes through.

we can find that point by using the midpoint formula:

[tex]x=\frac{x_{2}+x_{1}}{2}[/tex]

[tex]y=\frac{y_{2}+y_{1}}{2}[/tex]

so we get:

[tex]x=\frac{7+5}{2}=6[/tex]

[tex]y=\frac{4-8}{2}=-2[/tex]

So the point is (6,-2)

So now we can find the equation of the line by using the point-slope form of the linear equation:

[tex]y-y_{1}=m(x-x_{1})[/tex]

and substitute the point and the slope into the equation:

[tex]y-(-2)=-\frac{1}{6}(x-6)[/tex]

and solve for y:

[tex]y=-\frac{1}{6}x+1-2[/tex]

[tex]y=-\frac{1}{6}x-1[/tex]

which will be our answer.

Factor 32w+40z using the GCF.

a. 2(16w+20z)
b. 4(8w+10z)
c. 8(3w+5z)
Selected:d. 8(4w+5z)

Answers

Answer:

{x,y,z,w}={-1,0,6,3}

Can someone help me with this one,I’m not exactly sure what the answer is

Answers

Answer:

She gained 13,800 pounds

1 ton = 2,000 pounds

2,000 × 7 = 14,000

14,000 - 200 = 13,800

the length of a rectangle is 1 more than 3 times the width. if the perimeter is 98. what is the length ?

Answers

Answer:

length = 37

Step-by-step explanation:

w= x

l= 3x + 1

to get the perimeter you need to add all sides.

x + x + 3x + 3x + 1 + 1 = 98

8x + 2 = 98

8x = 96

x = 12

To get the length plug in the value of the x to 3x + 1.

length = 3(12) +1

length = 37

PLS HELP ASAP

What is the measure of ZABC?
Enter your answer in the box
the measure of LABC =

Answers

Answer:

B = 180 - 85 = 95

∠ABC = 95

Step-by-step explanation:

Given the figure below, find the values of x and z.
(7x + 61)
(15x – 35)
Х
Z

Answers

Answer: Z and 96 are vertical angles so they equal each other. The other angle makes a straight line with the 96 degree angle so subtract from 180 to find the measure of that angle is 84. Set the expression equal to 84 and solve.

Step-by-step explanation:

Can anyone help
check attachment

Answers

Answer:

first of all

11+4=15/3×√64

5×8=40

[tex](11 + 4) \div 3 \times \sqrt{64} [/tex]

Add the numbers

[tex]15 \div 3 \times \sqrt{64} [/tex]

Calculate the square root

[tex]15 \div 3 \times 8[/tex]

Divide the numbers

[tex]5 \times 8[/tex]

Multiply the numbers

[tex]40[/tex]

the distance from castroville to dover is 37.9 kilometers, how far is it from new port to springfield

Answers

Answer:

12.8

Step-by-step explanation:

subtract each leg from the total distance of 37.9. 37.9 - 12.3 - 7.6 - 4.2 = 12.8

Devaughn is 12 years older than Sydney. The sum of their ages is 88. What is Sydney's age?

Answers

Answer:

Sydney is 76.

Step-by-step explanation:

Why?

88 - 12 = 76

If Devaughn is 12 years older and the sum of their ages is 88, Sydney is 76. When you add 12 to 76, you get 88. 88 is the sum of their ages.

What is 8 inches converted to feet? Write your answer as a fraction in simplest form

Answers

Answer: 2/3 feet

Step-by-step explanation:

Since there are 12 inches in a foot, 8 inches would be equal to 8/12 of a foot. We can divide the numerator and the denominator by 4.

8/12 = 2/3 feet

Answer:

2/3 feet

Step-by-step explanation:

How do we convert inches to feet?

To convert a number of inches into feet, we divide the number of inches by 12.

Solving

8 ÷ 12 = 8/128 and 12 have a GCF of 4.8/4= 2, 12/4 = 32/3

Therefore, the answer is 2/3 feet.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

500 reduced by 4 times my age is 112

Answers

Answer:

Your age is 97 years old.

Step-by-step explanation:

Let x be age.

500 - 4x = 112

-4x = -388

x = 97

Please help!!!! Will mark the brainliest!!!!

Answers

X= 7

To get x the lines on the sides of the triangle mean the three sides are congruent. The angle across from that side are equal. So that makes all three angles equal. In every angle it’s 9x-3 so you add that together and you get 27x-9. All triangles equal 180 so do 27x-9=180 add 9 to both sides,
+9 +9 and you get 189
27x=189 Divide by 27

27x/27=189/27

x=7


Missing numbers on the number line
The blue dot is at what value on the number line?

Answers

Answer:

-3

Step-by-step explanation:

the number line is going up by 3's. It would start at -3 then 0 then 3 then 6 then 9 and so on. Hope this helps (:

The diagram shows an isosceles triangle. Work out the size of angle y.

A 740°
B 2540°
C 286°
D 3070°

Answers

Answer
C) 286 degrees
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